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math.NT2013
On Mobius and Liouville functions of order
Yusuke Fujisawa
Let be a number field, a positive integer. In this paper, we define the Mobius and Liouville functions of order in . We give a formula about the partial sums of them…
math.NT2013
On sums of generalized Ramanujan sums
Yusuke Fujisawa
Ramanujan sums have been studied and generalized by several authors. For example, Nowak studied these sums over quadratic number fields, and Grytczuk defined that on semigroups. In…